Find the range of the function \(h(x)=\frac{5x^2+20x+23}{x^2+4x+5}\) Enter your answer in interval notation.
The function will have a horizontal asymptote at y = (5x^2 / x^2) = 5
The graph here shows that the global minimum occurs at (-2,3) :
https://www.desmos.com/calculator/kztvawwhml
So.....the range is [ 3, 5 )